Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650bi |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
13810176000000000 = 218 · 36 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192867,32155541] |
[a1,a2,a3,a4,a6] |
Generators |
[223:334:1] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
3.3358595721602 |
L(r)(E,1)/r! |
Ω |
0.39728590956137 |
Real period |
R |
4.1983109542485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1850o1 16650cr1 |
Quadratic twists by: -3 5 |